Question

Let mAngleA = 40°. If AngleB is a complement of AngleA, and AngleC is a supplement of AngleB, find these measures.

Answer 1

Answer:

$m\angle B = 50^\circ$

$m\angle C = 130^\circ$

Step-by-step explanation:

We are given the following information in the question:

$m\angle A = 40^\circ$

Angle B is a complement of Angle A. Thus, we can write:

$\angle A + \angle B = 90^\circ\\\angle B = 90 - m\angle A\\\angle B = 90 - 40 = 50\\m\angle B = 50^\circ$

Angle C is a supplement of Angle B. Thus, we can write:

$\angle C + \angle B = 180^\circ\\\angle C = 180 - m\angle B\\\angle C = 180 - 50 = 130\\m\angle C = 130^\circ$

Answer 2

Answer:

the answer is m angle B = 50

m angle C = 130

Step-by-step explanation: